Slip flows of Newtonian and viscoelastic fluids in a 4:1 contraction

• Type: Article in International Scientific Journal
• Date: 2014

Authors

L. L. Ferrás (Author) Other; A. M. Afonso (Author) FEUP; M. A. Alves (Author) FEUP; J. M. Nóbrega (Author) Other; O. S. Carneiro (Author) Other; F. T. Pinho (Author) FEUP

Journal

Title: Journal of Non-Newtonian Fluid Mechanics

Vol. 214

Pages: 28-37

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 10 Citations

ISI Web of Science

Scopus - 13 Citations

INSPEC

Scientific classification

FOS: Engineering and technology

Other information

Authenticus ID: P-009-Z6V

DOI: 10.1016/j.jnnfm.2014.09.007

Abstract (EN): This work presents a numerical study of the 4:1 planar contraction flow of a viscoelastic fluid described by the simplified Phan-Thien-Tanner model under the influence of slip boundary conditions at the channel walls. The linear Navier slip law was considered with the dimensionless slip coefficient varying in the range [0; 4500]. The simulations were carried out for a small constant Reynolds number of 0.04 and Deborah numbers (De) varying between 0 and 5. Convergence could not be achieved for higher values of the Deborah number, especially for large values of the slip coefficient, due to the large stress gradients near the singularity of the reentrant corner. Increasing the slip coefficient leads to the formation of two vortices, a corner and a lip vortex. The lip vortex grows with increasing slip until it absorbs the corner vortex, creating a single large vortex that continues to increase in size and intensity. In the range De = 3-5 no lip vortex was formed. The flow is characterized in detail for De = 1 as function of the slip coefficient, while for the remaining De only the main features are shown for specific values of the slip coefficient.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10